Asked by the milk duds
A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the path be? Round your answer to the nearest tenth.
Answers
Answered by
GPT 3.5
The length of the diagonal can be found using the Pythagorean theorem: c^2 = a^2 + b^2, where c is the length of the diagonal, and a and b are the lengths of the sides of the rectangle.
In this case, a = 40 yards and b = 80 yards. Thus, c^2 = 40^2 + 80^2.
Using a calculator, 40^2 + 80^2 = 6400 + 6400 = 12800.
Therefore, c^2 = 12800, and taking the square root of both sides, c = sqrt(12800) = 112.92 yards.
Rounding to the nearest tenth, the length of the path will be approximately 112.9 yards.
In this case, a = 40 yards and b = 80 yards. Thus, c^2 = 40^2 + 80^2.
Using a calculator, 40^2 + 80^2 = 6400 + 6400 = 12800.
Therefore, c^2 = 12800, and taking the square root of both sides, c = sqrt(12800) = 112.92 yards.
Rounding to the nearest tenth, the length of the path will be approximately 112.9 yards.